Event-based Synchronization in Biology: Dynamics of Pulse Coupled Oscillators

Anton Proskurnikov, Ming Cao

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

3 Citations (Scopus)
504 Downloads (Pure)

Abstract

The principles of event-based control appear to be a
backbone of many self-coordinating natural systems. Populations of
flashing fireflies and cells of the cardiac pacemakers are believed to
reach synchrony via event-based interactions, known as the pulse
coupling. Synchronization via pulse coupling is also widely used in
wireless sensor networks, allowing to avoid the packet exchange. In
spite of serious attention to networks of coupled oscillators, there
is a lack of results on their synchronization under general topology
and phase-response curves. The most general, to the best of the
authors’ knowledge, result of this type (Wang et al., 2012) establishes
synchronization of oscillators with a delay-advance phase-response
curve under the assumption of strongly connected network topology. In
this paper we relax the latter assumption to the existence of an oriented
spanning tree, which is also necessary for the synchronization, being
commonly adopted in multi-agent control.
Original languageEnglish
Title of host publicationProc. of the First IEEE Conference on Event-Based Control, Communication and Signal Processing
Subtitle of host publicationIEEE
Number of pages6
Publication statusPublished - 17-Jun-2015
EventThe First IEEE International Conference on Event-Based Control, Communication, and Signal Processing - Krakow, Poland
Duration: 17-Jun-201519-Jun-2015

Conference

ConferenceThe First IEEE International Conference on Event-Based Control, Communication, and Signal Processing
CountryPoland
CityKrakow
Period17/06/201519/06/2015

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